Find the optimal unit commitment schedule

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Reference no: EM131326405

You are given three generating units and asked to find the optimal unit commitment schedule for the units to supply load over a 4-h time period.

Hour	MW load
1	400
2	1000
3	1600
4	400

Gen 1:F₁(P₁) = 2200 + 25P₁ + 0.025*P₁² where 220<=P₁<=600 MW

Gen 2:F₂(P₂) = 1500 + 11P₂ + 0.02*P₂² where 350<=P₂<=800 MW

Gen 3:F₃(P₃) = 1000 + 20P₃ + 0.015*P₃² where 150<=P₃<=600

Each generator has a start-up cost that must be factored in when the unit starts. You should assume that this start-up cost is incurred even if the unit was on then off for only one or two hours and then gets turned back on.

Generating Unit	Start-Up cost
1	2400
2	3000
3	3400

Find the optimal unit commitment schedule.

Reference no: EM131326405

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